Modern Approach to Speed math secret

Upcoming Research Book

* Modern Approach to Speed Math Secrets
(VJ’s Mathemagic)
By

VITTHAL B. JADHAV

* Innovative Content
1. Global number system
1) Golden Principle with proof
2) Application of Golden Principle
i) Addition ii) Subtraction iii) Multiplication iv) divisibility
v) Trachtenberg system vi) In computer science

2. Derivation of Trachtenberg formulae
3. Monodigit Number, Property , Significance (Full study)
4. N’th Power of number made easy
5. Magical Game
(Compute N’th root of any perfect n’th power instantly ! )
6. Inter Base Conversion Method
7. Universal Divisibility test
(Divisibility by any number)
8. Unification of Vertically Crosswise and Trachtenberg
Multiplication Method
(Concept helps to develop abacus like instrument !)
9. VJ’s Multiplication Method
10. Calendar calculation made easy
11. Remainder Computation made easy (Remainder Corollary)
12. Shift add representation and its application ( For Engineers )
13. Modified Queen-McCluskey Method (For engineers)
14. Osculation based divisibility test
15. Ripple carry addition and Ripple notation
(Concept simplifies multiplication by eliminating redundant computation)
16. Duplex square made easy

+ DVD containing 120 comprehensive interactive PPT

* Title of book and topics may change

International Copyright© 2013 by Vitthal Jadhav

Squaring ‘Reverse of two digit number’

Let TU be two digit number. Then compute square of its reverse number (UT) as below

1) First partition ‘square of number TU’ into two equal half.
2) Add M=T 2 −U2 into the first half ,while subtract it from second half to get answer !
Mathematically,

(UT)2 = (TU)2 + 100(T 2 − U2) − (T 2 − U2)

Examples
1) 912 = ?

TU=91, (UT)2 = 192 = 361 , T 2 – U2 =81– 1=80

∴ 912 = 03 61

+ 80 − 80

83 21

∴ 912 =83 2 1 =8281

2) 722 = 07 29 272

+ 45 − 45 72 –22 =45

52 24

∴ 722 =52 2 4 = 5184

Exercise
i) 912 ii) 822 iii) 522 iv) 722 v) 612 vi) 422 vii) 622 viii) 542 ix) 312 x) 912


Multiplication of any number by Monodigit number(Quotient Method)

Formulation:
X *b
Let = Quotient Q , Remainder R
9
Then X * (b)n = QRRR......RRR − Q
n times

Example
1) 444* 5261 = ?

5261 * 444 = X *(b)n ⇒ X = 5261, b = 4, n = 3
X * b 5261* 4
=
9 9
21044
= = Quotient(Q) 2338, Remainder(R) 2
9
444* 5261 = QRRR......RRR − Q
n times
= 2338 222 – 2338
∴ 444* 5261 = 2335884

2) 20034 * 88888 = ?

X = 20034 , b =8 , n = 5
X * b 20034*8
= = 2226*8
9 9
= Quotient(Q) 17808, Remainder(R) 0
20034*88888 = 1780800000 − 17808
= 1780817808 = 1780782192
∴ 20034* 88888 = 1780782192

Proof and other monodigit multiplication methods will be revealed later


VJ’s Multiplication Algorithm
1. BINARY MULTIPLICATION (Alternative for booth’s multiplication algorithm)
s
1) Straight Multiplication Step

2) Backward Difference Step


2. 19392 = ?

I II III IV
03 61 15 21
03 79 (I+II+III) 97 (II+III+IV) 21
− 4 00
03 75 97 21

∴ 19392 = 375 97 21


Book Features
1) Word’s first book that explores unique secret
behind speed math
2) Presents innovative VJ’s universal divisibility
test for any number
3) Gives faster method for nth root of any number
4) Explain concept behind each method
5) Emphasize is given to increase logical thinking
rather than spoon feeding
6) Word’s first book that study monodigit number
7) Boost your computing speed by just
remembering unique secret !
8) Presents new multiplication methods
9) Unifies Trachtenberg + Vedic Math + Modern
Mathematics
10) Presents Global number system based on golden
principle


Modern Approach to Speed math secret

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